Finite Group Databasebeta

← Group #14416819

Character table — Group #14416819

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size1111222222222222222222222222222222222244444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888888888888888888888888815151515303030303030606060606060606060606060
order12223444444556661010101010101515151530303030303030303030303044444444888812121212121220202020202020202020202060606060606060606060606060606060606060606060606012121212121212122020202020202020202020202020202024242424404040404040404060606060606060606060606060606060606060606060606060606060606060601201201201201201201201201201201201201201201201204444224444224444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ511111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111-1-1-1-11111111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ1011111-1-1-1-11111111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1111111-1-1-1-11111111111111111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-111
χ1211111-1-1-1-11111111111111111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ1311111-1-1-1-111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-111
χ1411111-1-1-1-111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-1
χ1511111-1-1-1-111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1
χ1611111-1-1-1-111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111
χ171-11-11i−ii−i1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i1-11-1i−ii−i1-1ii−i−i1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-111-1-1i−i1-1ii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i1-11-1i−i1-11-1i−ii−i1-1i−i
χ181-11-11i−ii−i1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i1-11-1i−ii−i1-1ii−i−i1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-111-1-1i−i1-1ii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1−i−iii-11-11−ii-11-11−ii−ii-11−ii
χ191-11-11i−ii−i1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i1-1-11−ii−ii-11ii−i−i1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111−ii-11−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111ii−i−i1-11-1i−i1-1-11i−i−ii-11−ii
χ201-11-11i−ii−i1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i1-1-11−ii−ii-11ii−i−i1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111−ii-11−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−iii-11-11−ii-111-1−iii−i1-1i−i
χ211-11-11i−ii−i1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111−ii-111-1i−i−ii-11ii−i−i1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−iii−i-111-1−i−iiiii−i−i-1-11111-1-1−ii-11−i−iii-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i1-11-1i−i-111-1−iii−i-11−ii
χ221-11-11i−ii−i1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111−ii-111-1i−i−ii-11ii−i−i1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−iii−i-111-1−i−iiiii−i−i-1-11111-1-1−ii-11−i−iii-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-11111−i−iii-11-11−ii1-1-11i−i−ii1-1i−i
χ231-11-11i−ii−i1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111−ii-11-11−iii−i1-1ii−i−i1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−ii−ii-11-11−i−iii−i−iii-1-111-1-111i−i1-1ii−i−i11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1ii−i−i1-11-1i−i-11-11−ii−ii1-1i−i
χ241-11-11i−ii−i1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111−ii-11-11−iii−i1-1ii−i−i1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−ii−ii-11-11−i−iii−i−iii-1-111-1-111i−i1-1ii−i−i11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−iii-11-11−ii1-11-1i−ii−i-11−ii
χ251-11-11−ii−ii1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i-111-1−iii−i-11−i−iii1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1i−i-11ii−i−i-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-11111ii−i−i-11-11i−i1-1-11−iii−i1-1−ii
χ261-11-11−ii−ii1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i-111-1−iii−i-11−i−iii1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1i−i-11ii−i−i-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−iii1-11-1−ii-111-1i−i−ii-11i−i
χ271-11-11−ii−ii1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i-11-11i−i−ii1-1−i−iii1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1i−ii−i-11-11ii−i−iii−i−i-1-111-1-111−ii1-1−i−iii11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1ii−i−i-11-11i−i1-11-1−ii−ii-11i−i
χ281-11-11−ii−ii1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i-11-11i−i−ii1-1−i−iii1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1i−ii−i-11-11ii−i−iii−i−i-1-111-1-111−ii1-1−i−iii11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1−i−iii1-11-1−ii-11-11i−ii−i1-1−ii
χ291-11-11−ii−ii1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111−ii1-11-1−ii−ii1-1−i−iii1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−ii−ii1-11-1−i−iii−i−iii11-1-111-1-1−ii1-1−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1ii−i−i-11-11i−i-11-11i−ii−i-11i−i
χ301-11-11−ii−ii1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111−ii1-11-1−ii−ii1-1−i−iii1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−ii−ii1-11-1−i−iii−i−iii11-1-111-1-1−ii1-1−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii1-11-1−ii1-11-1−ii−ii1-1−ii
χ311-11-11−ii−ii1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111−ii1-1-11i−ii−i-11−i−iii1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111i−i-11ii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111ii−i−i-11-11i−i-111-1i−i−ii1-1−ii
χ321-11-11−ii−ii1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111−ii1-1-11i−ii−i-11−i−iii1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111i−i-11ii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−i−iii1-11-1−ii1-1-11−iii−i-11i−i
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χ1764-44-4-24i−4i−4i4i-44−1+5−1−522-21−51−51+51+5−1+5−1−5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ582ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34000000000000−2i2i2i−2i2-2−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−51+5−1+5−1−52ζ7+2ζ232ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ232ζ43+2ζ47−2ζ31−2ζ59−2ζ11−2ζ192ζ31+2ζ592ζ11+2ζ192ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1774-44-4-24i−4i−4i4i-44−1+5−1−522-21−51−51+51+5−1+5−1−5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ382ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46000000000000−2i2i2i−2i2-2−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−51+5−1+5−1−52ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ232ζ11+2ζ192ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ43−2ζ47−2ζ7−2ζ232ζ43+2ζ472ζ7+2ζ23−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ192ζ31+2ζ592ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1784-44-4-2−4i4i4i−4i-444422-2-4-4-4-444-2-2-2-222222222-2-2-2-20000000000002i−2i−2i2i2-2−4i4i−4i4i4i−4i4i−4i-4-4442i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1794-44-4-2−4i4i4i−4i-44−1−5−1+522-21+51+51−51−5−1−5−1+5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ462ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ580000000000002i−2i−2i2i2-22ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+51−5−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ192ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ232ζ43+2ζ472ζ11+2ζ192ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ232ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ580000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1804-44-4-2−4i4i4i−4i-44−1−5−1+522-21+51+51−51−5−1−5−1+5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ342ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ380000000000002i−2i−2i2i2-22ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+51−5−1−5−1+5−2ζ31−2ζ59−2ζ11−2ζ192ζ31+2ζ592ζ11+2ζ19−2ζ43−2ζ47−2ζ7−2ζ232ζ43+2ζ472ζ7+2ζ232ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ192ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ232ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1814-44-4-2−4i4i4i−4i-44−1+5−1−522-21−51−51+51+5−1+5−1−5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ582ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ340000000000002i−2i−2i2i2-22ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−51+5−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ232ζ43+2ζ47−2ζ31−2ζ59−2ζ11−2ζ192ζ31+2ζ592ζ11+2ζ192ζ7+2ζ232ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ192ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1824-44-4-2−4i4i4i−4i-44−1+5−1−522-21−51−51+51+5−1+5−1−5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ382ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ460000000000002i−2i−2i2i2-22ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−51+5−1+5−1−5−2ζ43−2ζ47−2ζ7−2ζ232ζ43+2ζ472ζ7+2ζ23−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ192ζ31+2ζ592ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ232ζ11+2ζ192ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1834-4-44400000044-44-4-44-44-4-44444-44-44-44-44-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004i−4i−4i4i000000000000000000
χ1844-4-44400000044-44-4-44-44-4-44444-44-44-44-44-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−4i4i4i−4i000000000000000000
χ18588-8-88000000−2−25−2+258-8-8−2−252+25−2+252−252+252−25−2−25−2−25−2+25−2+25−2−252+25−2−252+25−2+252−25−2+252−252+252+252−252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18688-8-88000000−2+25−2−258-8-8−2+252−25−2−252+252−252+25−2+25−2+25−2−25−2−25−2+252−25−2+252−25−2−252+25−2−252+252−252−252+252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18788-8-8-400000088-4448-88-8-8-8-4-4-4-4-44-44-44-4444440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18888-8-8-4000000−2−25−2+25-444−2−252+25−2+252−252+252−25−4ζ26−4ζ34−4ζ14−4ζ46−4ζ22−4ζ38−4ζ2−4ζ58−4ζ26−4ζ344ζ26+4ζ34−4ζ14−4ζ464ζ14+4ζ46−4ζ22−4ζ384ζ22+4ζ38−4ζ2−4ζ584ζ2+4ζ584ζ26+4ζ344ζ14+4ζ464ζ22+4ζ384ζ2+4ζ580000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18988-8-8-4000000−2−25−2+25-444−2−252+25−2+252−252+252−25−4ζ14−4ζ46−4ζ26−4ζ34−4ζ2−4ζ58−4ζ22−4ζ38−4ζ14−4ζ464ζ14+4ζ46−4ζ26−4ζ344ζ26+4ζ34−4ζ2−4ζ584ζ2+4ζ58−4ζ22−4ζ384ζ22+4ζ384ζ14+4ζ464ζ26+4ζ344ζ2+4ζ584ζ22+4ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19088-8-8-4000000−2+25−2−25-444−2+252−25−2−252+252−252+25−4ζ22−4ζ38−4ζ2−4ζ58−4ζ14−4ζ46−4ζ26−4ζ34−4ζ22−4ζ384ζ22+4ζ38−4ζ2−4ζ584ζ2+4ζ58−4ζ14−4ζ464ζ14+4ζ46−4ζ26−4ζ344ζ26+4ζ344ζ22+4ζ384ζ2+4ζ584ζ14+4ζ464ζ26+4ζ340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19188-8-8-4000000−2+25−2−25-444−2+252−25−2−252+252−252+25−4ζ2−4ζ58−4ζ22−4ζ38−4ζ26−4ζ34−4ζ14−4ζ46−4ζ2−4ζ584ζ2+4ζ58−4ζ22−4ζ384ζ22+4ζ38−4ζ26−4ζ344ζ26+4ζ34−4ζ14−4ζ464ζ14+4ζ464ζ2+4ζ584ζ22+4ζ384ζ26+4ζ344ζ14+4ζ460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1928-8-888000000−2−25−2+25-88-82+25−2−252−25−2+252+252−25−2−25−2−25−2+25−2+252+25−2−252+25−2−252−25−2+252−25−2+252+252+252−252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1938-8-888000000−2+25−2−25-88-82−25−2+252+25−2−252−252+25−2+25−2+25−2−25−2−252−25−2+252−25−2+252+25−2−252+25−2−252−252−252+252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1948-8-88-4000000884-44-88-88-8-8-4-4-4-44-44-44-44-444440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1958-8-88-4000000−2−25−2+254-442+25−2−252−25−2+252+252−25−4ζ26−4ζ34−4ζ14−4ζ46−4ζ22−4ζ38−4ζ2−4ζ584ζ26+4ζ34−4ζ26−4ζ344ζ14+4ζ46−4ζ14−4ζ464ζ22+4ζ38−4ζ22−4ζ384ζ2+4ζ58−4ζ2−4ζ584ζ26+4ζ344ζ14+4ζ464ζ22+4ζ384ζ2+4ζ580000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1968-8-88-4000000−2−25−2+254-442+25−2−252−25−2+252+252−25−4ζ14−4ζ46−4ζ26−4ζ34−4ζ2−4ζ58−4ζ22−4ζ384ζ14+4ζ46−4ζ14−4ζ464ζ26+4ζ34−4ζ26−4ζ344ζ2+4ζ58−4ζ2−4ζ584ζ22+4ζ38−4ζ22−4ζ384ζ14+4ζ464ζ26+4ζ344ζ2+4ζ584ζ22+4ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1978-8-88-4000000−2+25−2−254-442−25−2+252+25−2−252−252+25−4ζ22−4ζ38−4ζ2−4ζ58−4ζ14−4ζ46−4ζ26−4ζ344ζ22+4ζ38−4ζ22−4ζ384ζ2+4ζ58−4ζ2−4ζ584ζ14+4ζ46−4ζ14−4ζ464ζ26+4ζ34−4ζ26−4ζ344ζ22+4ζ384ζ2+4ζ584ζ14+4ζ464ζ26+4ζ340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1988-8-88-4000000−2+25−2−254-442−25−2+252+25−2−252−252+25−4ζ2−4ζ58−4ζ22−4ζ38−4ζ26−4ζ34−4ζ14−4ζ464ζ2+4ζ58−4ζ2−4ζ584ζ22+4ζ38−4ζ22−4ζ384ζ26+4ζ34−4ζ26−4ζ344ζ14+4ζ46−4ζ14−4ζ464ζ2+4ζ584ζ22+4ζ384ζ26+4ζ344ζ14+4ζ460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.